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Finding the Fourth Proportional to 1,700.16, 2,346.24 and 992.16

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Solution

The fourth proportional to 1,700.16, 2,346.24 and 992.16 is: 1,369.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,700.16 : 2,346.24 = 992.16 : x
  2. Step 2: Convert to fraction form
    1,700.16/2,346.24 = 992.16/x
  3. Step 3: Cross multiply
    1,700.16x = 2,346.24 × 992.16
  4. Step 4: Simplify right side
    1,700.16x = 2,327,845.48
  5. Step 5: Solve for x
    x = 2,327,845.48/1,700.16
  6. Step 6: Final answer
    x = 1,369.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.